MT-1620 al.2002 Define the" Airy"Stress Function = o(x, y) English a scalar mathematician + v 8-2) yy v (8-3) aXd where: V=potential function for body forces fx and ty dV V exists if VXf=0 (CI that is of Paul A Lagace @2001 Unit 8-p. 4MIT - 16.20 Fall, 2002 Define the “Airy” Stress Function = φ(x, y) English a scalar mathematician ∂2φ σxx = 2 + V (8 -1) ∂y ∂2φ σyy = ∂x2 + V (8 - 2) 2φ σxy = − ∂ (8 - 3) ∂ ∂x y where: V = potential function for body forces fx and fy fx = − ∂V fy = − ∂V ∂x ∂y V exists if ∇ x f = 0 (curl) that is: ∂fx = ∂fy ∂y ∂x Paul A. Lagace © 2001 Unit 8 - p. 4